Higher Weierstrass points on 𝑋₀(𝑝)

Ahlgren, Scott; Papanikolas, Matthew

doi:10.1090/S0002-9947-02-03204-X

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Higher Weierstrass points on $X_{0}(p)$

Authors: Scott Ahlgren and Matthew Papanikolas
Journal: Trans. Amer. Math. Soc. 355 (2003), 1521-1535
MSC (2000): Primary 11G18; Secondary 11F33, 14H55
Posted: November 20, 2002
MathSciNet review: 1946403
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Abstract: We study the arithmetic properties of higher Weierstrass points on modular curves $X_{0}(p)$ for primes . In particular, for $r\in \{2, 3, 4, 5\}$ , we obtain a relationship between the reductions modulo of the collection of -Weierstrass points on $X_{0}(p)$ and the supersingular locus in characteristic .

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